Least Common Multiple of 387 and 392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 387 and 392 the smallest integer that is 151704 that is divisible by both numbers.

Least Common Multiple (LCM) of 387 and 392 is 151704.

LCM(387,392) = 151704

LCM of 387 and 392

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 387 and 392

LCM of 387 and 392 is 151704

Least common multiple can be found by multiplying the highest exponent prime factors of 387 and 392. First we will calculate the prime factors of 387 and 392.

Prime Factorization of 387


3 387
3 129
43 43
1

Prime factors of 387 are 3,43. Prime factorization of 387 in exponential form is:

387 = 32×431

Prime Factorization of 392


2 392
2 196
2 98
7 49
7 7
1

Prime factors of 392 are 2,7. Prime factorization of 392 in exponential form is:

392 = 23×72

Now multiplying the highest exponent prime factors to calculate the LCM of 387 and 392.

LCM(387,392) = 23×32×72×431
LCM(387,392) = 151704

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Least Common Multiple of 387 and 392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 387 and 392, than apply into the LCM equation.

GCF(387,392) = 1
LCM(387,392) = ( 387 × 392) / 1
LCM(387,392) = 151704 / 1
LCM(387,392) = 151704

Properties of LCM 387 and 392

(i) The LCM of 392 and 387 is associative

LCM of 387 and 392 = LCM of 392 and 387

Related Least Common Multiples of 387

Related Least Common Multiples of 392

Frequently Asked Questions on LCM of 387 and 392

1. What is the LCM of 387 and 392?

Answer: LCM of 387 and 392 is 151704.

2. What are the Factors of 387?

Answer: Factors of 387 are 1, 3, 9, 43, 129, 387. There are 6 integers that are factors of 387. The greatest factor of 387 is 387.

3. What are the Factors of 392?

Answer: Factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392. There are 12 integers that are factors of 392. The greatest factor of 392 is 392.

4. How to Find the LCM of 387 and 392?

Answer:

Least Common Multiple of 387 and 392 = 151704

Step 1: Find the prime factorization of 387

387 = 3 x 3 x 43

Step 2: Find the prime factorization of 392

392 = 2 x 2 x 2 x 7 x 7

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 151704 = 2 x 2 x 2 x 3 x 3 x 7 x 7 x 43

Step 4: Therefore, the least common multiple of 387 and 392 is 151704.